2018
DOI: 10.4208/cicp.oa-2016-0153
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Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries

Abstract: We study the asymptotic-preserving fully discrete schemes for nonequilibrium radiation diffusion problem in spherical and cylindrical symmetric geometry. The research is based on two-temperature models with Larsen's flux-limited diffusion operators. Finite volume spatially discrete schemes are developed to circumvent the singularity at the origin and the polar axis and assure local conservation. Asymmetric second order accurate spatial approximation is utilized instead of the traditional first order one for bo… Show more

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Cited by 4 publications
(1 citation statement)
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“…In order to evaluate the nonlinear parts at the previous nonlinear iteration level, Kačanov [29] employed the method of frozen coefficients. An important observation is that because of the complex volatile nonlinear coupling of various physical quantities from numerous interacting spatial and temporal scales, the MGD equations are often discretised by finite volume schemes [14,24,38,45,47,52]. This leads to the series of nonsymmetric but positive definite linear systems, which have to be solved at each time-step and/or nonlinear iterations.…”
Section: Introductionmentioning
confidence: 99%
“…In order to evaluate the nonlinear parts at the previous nonlinear iteration level, Kačanov [29] employed the method of frozen coefficients. An important observation is that because of the complex volatile nonlinear coupling of various physical quantities from numerous interacting spatial and temporal scales, the MGD equations are often discretised by finite volume schemes [14,24,38,45,47,52]. This leads to the series of nonsymmetric but positive definite linear systems, which have to be solved at each time-step and/or nonlinear iterations.…”
Section: Introductionmentioning
confidence: 99%